Results 61 to 70 of about 33,489 (278)

Necessary conditions for classical super-integrability of a certain family of potentials in constant curvature spaces

, 2010
We formulate the necessary conditions for the maximal super-integrability of a certain family of classical potentials defined in the constant curvature two-dimensional spaces.
Andrzej J Maciejewski, Freudenburg G Freudenburg J, Haruo Yoshida, Herranz F J, Kalnins E G, Kalnins E G, Kalnins E G Kress J M Miller W, Maria Przybylska, Quesne C, Ruiz J J Morales, Sansaturio M E, Tempesta P, Tremblay F, Tremblay F   +13 more
core   +1 more source

Cardiac‐Derived ECM Microspheres for Enhanced hiPSC‐CMs Maturation

Advanced Functional Materials, EarlyView.
Cardiac extracellular matrix microspheres derived from decellularized porcine heart provide a biomimetic 3D microenvironment for human induced pluripotent stem cell–derived cardiomyocytes (hiPSC‐CMs). This platform supports short‐ and long‐term culture, enhances structural organization, and promotes electrophysiological and functional maturation of ...
Jiazhu Xu, Joel Aboagye, Marcella Edwards, Nick Rogozinski, Yufeng Wen, Angello Huerta Gomez, Zui Pan, Ge Zhang, Huaxiao Yang, Yi Hong   +9 more
wiley   +1 more source

Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation

Mathematical and Computational Applications
In this paper, using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinear partial differential equations, thereby establishing ...
Willy Hereman, Ünal Göktaş
doaj   +1 more source

An analytic approach to constructing Bäcklund transformations and exact solutions to nonlinear wave equations in non-polynomial form

Nuclear Physics B, 2019
Bäcklund transformation (BT) is an intrinsic property of nonlinear integrable system. Generally, it is an interesting and challenging work to investigate BT of a nonlinear system, especially for the non-polynomial form.
Hanze Liu, Cheng-Lin Bai, Xiangpeng Xin
doaj   +1 more source

Counterion Dependent Side‐Chain Relaxation Stiffens a Chemically Doped Thienothiophene Copolymer

Advanced Functional Materials, EarlyView.
Oxidation of a thienothiophene copolymer, p(g3TT‐T2), via different doping strategies and dopant molecules resulted in materials with similar oxidation levels and a high electrical conductivity of ≈100 S cm−1. However, mechanical properties varied significantly, with sub‐glass transition temperatures and elastic moduli spanning from –44°C to –3°C and ...
Mariavittoria Craighero, Meghna Jha, Elsa Veronica Flores‐Vela, Joost Kimpel, Andreas Schaefer, Jiali Guo, Jesika Asatryan, Alberto Peinador Veiga, Shuichi Haraguchi, Per‐Anders Carlsson, Jaime Martín, Mariano Campoy‐Quiles, Christian Müller   +12 more
wiley   +1 more source

Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Patrick Desrosiers, Martin Hallnäs
doaj   +1 more source

Quantum curve in q-oscillator model

International Journal of Mathematics and Mathematical Sciences, 2006
A lattice model of interacting q-oscillators, proposed by V. Bazhanov and S. Sergeev in 2005 is the quantum-mechanical integrable model in 2+1 dimensional space-time.
S. Sergeev
doaj   +1 more source

Particular Integrability and (Quasi)-exact-solvability

, 2012
A notion of a particular integrability is introduced when two operators commute on a subspace of the space where they act. Particular integrals for one-dimensional (quasi)-exactly-solvable Schroedinger operators and Calogero-Sutherland Hamiltonians for ...
Alexander V Turbiner, Escobar-Ruiz M A, Escobar-Ruiz M A, Oshima T, Tremblay F, Turbiner A V, Turbiner A V, Turbiner A V   +7 more
core   +1 more source

Micro and Nanostructural Diversity of Lizard Osteoderm Capping Tissue in Relation to Mechanical Performance

Advanced Functional Materials, EarlyView.
This study shows that lizard osteoderm capping tissue is a hyper‐mineralized hydroxyapatite layer consistently covering the superficial osteoderm surface in those species studied here, yet it varies greatly in morphology, nanostructure, and mechanical performance across species.
Adrian Rodriguez‐Palomo, Marius Didziokas, Malene Siri Berg Jacobsen, Thorbjørn Erik Køppen Christensen, Innokenty Kantor, Mads Ry Vogel Jørgensen, Klaus Pagh Almtoft, Jesper Skovhus Thomsen, Anthony Herrel, Catherine J.A. Williams, Henrik Birkedal   +10 more
wiley   +1 more source

Analytical Solutions of a Nonlinear Convection-Diffusion Equation With Polynomial Sources

Моделирование и анализ информационных систем, 2016
Nonlinear convection–diffusion equations are widely used for the description of various processes and phenomena in physics, mechanics and biology. In this work we consider a family of nonlinear ordinary differential equations which is a traveling wave ...
N. A. Kudryashov, D. I. Sinelshchikov
doaj   +1 more source